Theorem 2.26  [1]}
Let \(H= U \rtimes L\)  be a linear algebraic group with unipotent radical \(U\)  internally graded by \(\lambda : \mathbb {G}_m \rightarrow L\)  acting on a projective scheme \(Y\)  with respect to a very ample adapted linearisation \(\mathcal {L}\) . Assuming condition REF  holds, the following statements hold.
